Fully adaptive mode decomposition from time-frequency ridges

Sylvain Meignen (1) , Thomas Oberlin (2) , Stephen Mc Laughlin (3)

1 CVGI - Calcul des Variations, Géométrie, Image
2 IRIT-SC - Signal et Communications
3 HWU - Heriot-Watt University [Edinburgh]

In this paper, we consider ridge detection for multicomponent signal analysis. We introduce a new ridge detector based on a projection of the reassignment vector in a specific direction which is related to the geometry of the spectrogram magnitude. The ridge definition we introduce enables that of the basin of attraction associated with a ridge and then mode reconstruction. Simulations show better concentration of the information on the ridges obtained by our method compared to other existing ridge detectors that also make use of the reassignment vector.

Mots clés: Short-time Fourier transform; Reassignment; Time-frequency; AM/FM; Ridges; Multicomponent signals

Domaines: Synthèse d'image et réalité virtuelle [cs.GR]; Traitement du signal et de l'image [eess.SP]; Traitement des images [eess.IV]; Vision par ordinateur et reconnaissance de formes [cs.CV]; Intelligence artificielle [cs.AI]; Recherche d'information [cs.IR]; Analyse fonctionnelle [math.FA]

Sylvain Meignen, Thomas Oberlin, Stephen Mc Laughlin. Fully adaptive mode decomposition from time-frequency ridges. 42nd IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP 2017), Mar 2017, New Orleans, United States. pp.3884-3888, ⟨10.1109/ICASSP.2017.7952884⟩. ⟨hal-01913968⟩